434040200 has 96 divisors (see below), whose sum is σ = 1114616160. Its totient is φ = 155865600.

The previous prime is 434040169. The next prime is 434040203. The reversal of 434040200 is 2040434.

It is not an unprimeable number, because it can be changed into a prime (434040203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181412 + ... + 183788.

It is an arithmetic number, because the mean of its divisors is an integer number (11610585).

Almost surely, 2^434040200 is an apocalyptic number.

434040200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557308080).

434040200 is an abundant number, since it is smaller than the sum of its proper divisors (680575960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434040200 is a wasteful number, since it uses less digits than its factorization.

434040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 434040200 is about 20833.6314645335. The cubic root of 434040200 is about 757.1408035341.

Adding to 434040200 its reverse (2040434), we get a palindrome (436080634).

The spelling of 434040200 in words is "four hundred thirty-four million, forty thousand, two hundred".